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摘要翻译：
我们在一个量子场框架中导出了无刺玻色子的理想相对论量子气体的微正则配分函数，作为固定重数的展开。我们的计算推广了文献中已知的表达式，因为它不引入任何大体积近似，并且在任何体积下都是有效的。讨论了体积与康普顿波长相当的自由量子场的微正则系综的定义问题，给出了计算微正则配分函数的一致公式，该配分函数在有限体积下是有限的，并得到了正确的热力学极限。除了一个非物质的整体因素外，得到的表达式与非相对论多粒子方法中的表达式是相同的。本文的工作是导出固定庞加莱群的最大可观测集的微正则配分函数的最一般表达式。
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英文标题：
《The microcanonical ensemble of the ideal relativistic quantum gas》
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作者：
F. Becattini, L. Ferroni (University of Florence and INFN Florence)
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Nuclear Theory 核理论
分类描述：Nuclear Theory Theory of nuclear structure covering wide area from models of hadron structure to neutron stars. Nuclear equation of states at different external conditions. Theory of nuclear reactions including heavy-ion reactions at low and high energies. It does not include problems of data analysis, physics of nuclear reactors, problems of safety, reactor construction
核理论涵盖从强子结构模型到中子星等广泛领域的核结构理论。不同外部条件下的核状态方程。核反应理论，包括低能和高能的重离子反应。它不包括数据分析问题、核反应堆物理问题、安全问题、反应堆建设问题
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Quantum Physics 量子物理学
分类描述：Description coming soon
描述即将到来
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英文摘要：
We derive the microcanonical partition function of the ideal relativistic quantum gas of spinless bosons in a quantum field framework as an expansion over fixed multiplicities. Our calculation generalizes well known expressions in literature in that it does not introduce any large volume approximation and it is valid at any volume. We discuss the issues concerned with the definition of the microcanonical ensemble for a free quantum field at volumes comparable with the Compton wavelength and provide a consistent prescription of calculating the microcanonical partition function, which is finite at finite volume and yielding the correct thermodynamic limit. Besides an immaterial overall factor, the obtained expression turns out to be the same as in the non-relativistic multi-particle approach. This work is introductory to derive the most general expression of the microcanonical partition function fixing the maximal set of observables of the Poincare' group.
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PDF链接：
https://arxiv.org/pdf/704.1967
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